A060002 Digitized partition numbers: numbers with (weakly) increasing digits ordered by sum of their digits then by the numbers themselves.

0, 1, 2, 11, 3, 12, 111, 4, 13, 22, 112, 1111, 5, 14, 23, 113, 122, 1112, 11111, 6, 15, 24, 33, 114, 123, 222, 1113, 1122, 11112, 111111, 7, 16, 25, 34, 115, 124, 133, 223, 1114, 1123, 1222, 11113, 11122, 111112, 1111111, 8, 17, 26, 35, 44, 116, 125, 134, 224

Offset: 0

Author

Henry Bottomley, Mar 14 2001

Keywords

• base
• nonn

Comments

a(97) cannot be written in decimal since it requires ten to be written as a single digit.

Crossrefs

Number of values of a(n) with a digit sum of k is A000041, number of values of a(n) with a digit sum of k and m digits is A008284, a(A000070(n))=n+1 written as a single digit, a(A026905(n))=A000042(n).